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Finding the Third Proportional to 307,040.25 and 666,266.25

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Solution

The third proportional to 307,040.25 and 666,266.25 is: 1,445,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,040.25 : 666,266.25 = 666,266.25 : x
  2. Step 2: Convert to fraction form
    307,040.25/666,266.25 = 666,266.25/x
  3. Step 3: Cross multiply
    307,040.25x = 666,266.25 × 666,266.25
  4. Step 4: Simplify right side
    307,040.25x = 443,910,715,889.06
  5. Step 5: Solve for x
    x = 443,910,715,889.06/307,040.25
  6. Step 6: Final answer
    x = 1,445,773.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.